What is the minimum speed the bucket can travel so no water spills out?

You are rotating a bucket of water in a vertical circle. The radius of rotation is 0.95m, what is the minimum speed the bucket can travel so no water spills out?

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  • 2 months ago
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    Centripetal force must equal weight

    mV²/r = mg

    V² = rg = 0.98•9.8

    V = 3.05 m/s

    Centripetal force f = mV²/r = mrω²

       ω is angular velocity in radians/sec

            1 radian/sec = 9.55 rev/min

       m is mass in kg

       r is radius of circle in meters

       V is the tangental velocity in m/s = ωr

       f is in Newtons

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